Question

the mean of x+8,x+6,x+4,x+2 and x is 24.find the value of x.
$mean = sum \: of \: all \: observations \div number \: of \: observations$
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Answer 1

the value of x is 20

Answer 2

Given ,

Total Observations = x+8,x+6,x+4,x+2 and x

Number of observations = 5

Mean of the data = 24

$mean \: = \: \frac{sum \: of \: observations}{number \: of \: observations \: }$

[substitute the values]

$24 \: = \: \frac{x + 8 + x+6 + x+4 + x+2 + x }{5}$

$24 = \frac{5x + 20}{5}$

$24\times5 = 5x + 20$

$120 = 5x + 20$

$120 - 20 = 5x$

$100 = 5x$

$100\div5 = x$

$x = 20$

$\boxed{Value\:of\:x\:=>\:20}$